221321196 has 72 divisors (see below), whose sum is σ = 590990400. Its totient is φ = 69642720.

The previous prime is 221321159. The next prime is 221321209. The reversal of 221321196 is 691123122.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 335515 + ... + 336173.

It is an arithmetic number, because the mean of its divisors is an integer number (8208200).

Almost surely, 2^221321196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221321196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295495200).

221321196 is an abundant number, since it is smaller than the sum of its proper divisors (369669204).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221321196 is a wasteful number, since it uses less digits than its factorization.

221321196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1174 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 221321196 is about 14876.8678155047. The cubic root of 221321196 is about 604.8871187072.

It can be divided in two parts, 2213 and 21196, that added together give a square (23409 = 153²).

The spelling of 221321196 in words is "two hundred twenty-one million, three hundred twenty-one thousand, one hundred ninety-six".